Question

A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 238 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used conduct a test of hypothesis. The goal was to determine if the average travel time of all the university’s students differed from 20 minutes. Suppose the sample mean and sample standard deviation were calculated to be 23.2 and 20.26 minutes, respectively. Calculate the value of the test statistic to be used in the test.

A) z = 0.173

B) z =2.551

C) z = 2.437

D) z = 37.59

Answer 1

Solution :

This is the two tailed test,  

The null and alternative hypothesis is ,

H₀ :   = 20

H_a :    20

Test statistic = z =

= ( - ) / / n

= (23.2 - 20) / 20.26 / 238

Test statistic = z = 2.437

correct option is = C